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Simplifying 4x + -8i = 16 + 4yi Reorder the terms: -8i + 4x = 16 + 4yi Solving -8i + 4x = 16 + 4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4iy' to each side of the equation. -8i + -4iy + 4x = 16 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 -8i + -4iy + 4x = 16 + 0 -8i + -4iy + 4x = 16 Add '-4x' to each side of the equation. -8i + -4iy + 4x + -4x = 16 + -4x Combine like terms: 4x + -4x = 0 -8i + -4iy + 0 = 16 + -4x -8i + -4iy = 16 + -4x Reorder the terms: -16 + -8i + -4iy + 4x = 16 + -4x + -16 + 4x Reorder the terms: -16 + -8i + -4iy + 4x = 16 + -16 + -4x + 4x Combine like terms: 16 + -16 = 0 -16 + -8i + -4iy + 4x = 0 + -4x + 4x -16 + -8i + -4iy + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -8i + -4iy + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + -2i + -1iy + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -2i + -1iy + x)' equal to zero and attempt to solve: Simplifying -4 + -2i + -1iy + x = 0 Solving -4 + -2i + -1iy + x = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2i + -1iy + 4 + x = 0 + 4 Reorder the terms: -4 + 4 + -2i + -1iy + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2i + -1iy + x = 0 + 4 -2i + -1iy + x = 0 + 4 Combine like terms: 0 + 4 = 4 -2i + -1iy + x = 4 Add '-1x' to each side of the equation. -2i + -1iy + x + -1x = 4 + -1x Combine like terms: x + -1x = 0 -2i + -1iy + 0 = 4 + -1x -2i + -1iy = 4 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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